Discussion of the use of computers in math instruction highlights two possibilities suggested in response to an earlier journal column: (1) a program written in BASIC for producing spirolaterals, and (2) the use of LOGO list processing to solve matrix problems for exploring geometric transformations. (LRW)

Presents various exercises and programs to demonstrate how low-resolution graphics (for Apple microcomputers) can be utilized in the mathematics classroom. (JN)

Discusses high resolution (hi-res) graphics programing on the Apple microcomputer, emphasizing its use in the mathematics classroom. Sample programs to plot dots and diagonals as well as programs for creating more complex visuals and patterns are included. (JN)

Explores the use of computers for teaching mathematical models of transposition ciphers. Illustrates the ideas, includes activities and extensions, provides a mathematical model and includes computer programs to implement these topics. (MVL)

Presents a method for using matrix algebra and computers to encode and decode secret messages. Provides examples of coding procedures, a short review of matrix multiplication, and a BASIC program for use with secret messages containing up to 1000 numbers. (RT)

Describes numerical differentiation and the central difference formula in numerical analysis. Presents three computer programs that approximate the first derivative of a function utilizing the central difference formula. Analyzes conditions under which the approximation formula is exact. (MDH)

This paper merges state-of-the-art calculator technology with examples drawn from the Harvard Consortium Calculus Curriculum. A brief rationale for selection of the Harvard project and the TI-85 is provided, and four different mathematical situations are examined using different capabilities of the TI-85. Two short TI-85 programs are given.…

Explores the production of shadows for drawings using the LOGO computer language and Affine Geometry. Explains the methodology of the shadowing and lists the Affine Turtle procedures. Provides for different versions of LOGO. (MVL)

Presents the Morris Loe Angle Trisection Approximation Method to introduce students to areas of mathematics where approximations are used when exact answers are difficult or impossible to obtain. Examines the accuracy of the method using the laws of sines and cosines and a BASIC computer program that is provided. (MDH)

Presents an example of a proof to the mathematical problem of the sum of the cubes of the digits. Provides a Pascal program to search for these results. (MVL)

Describes several phenomena in which interesting properties of numbers are demonstrated. Includes discussions of amicable, perfect, and sociable numbers. Presents computer programs for conducting a number chain search. (RT)

Uses muMATH to illustrate the step-by-step process in translating mathematical theory into the symbolic manipulation setting. Shows an application of a Picard iteration which uses a computer to generate a sequence of functions which converge to a solution. (MVL)

Described is a research-based instructional technique for teaching analogical reasoning by the use of guided LOGO programing activities. An example worksheet is provided illustrating the use of the Sternberg's four-step analogical reasoning technique (encode, infer, map, and apply) with LOGO programs. (Author/MDH)

The LOGO subroutine turtle geometry and Euclidean geometry are compared with respect to their treatment of similarity and difference of plane figures. The problem and its proposed solution of introducing a FLIP operation are viewed briefly from the perspectives of mathematics, computer science, and education. (MDH)

Discusses the process of mathematical iteration, its benefits as a problem-solving technique, and how to teach it. Presents a selection of mathematical ideas and problems that can be solved and explored using iteration, along with related BASIC computer programs. (MDH)